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The description of emerging collective phenomena and self-organization in systems composed of large numbers of individuals has gained increasing interest from various research communities in biology, ecology, robotics and control theory, as well as sociology and economics.Applied mathematics is concerned with the construction, analysis and interpretation of mathematical models that can shed light on significant problems of the natural sciences as well as our daily lives. To this set of problems belongs the description of the collective behaviours of complex systems composed by a large enough n

Monte Carlo method. --- Equations of motion. --- Multiagent systems --- Agent-based model (Computer software) --- MASs (Multiagent systems) --- Multi-agent systems --- Systems, Multiagent --- Intelligent agents (Computer software) --- Motion equations --- Mechanics --- Lagrange equations --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Numerical analysis --- Numerical calculations --- Stochastic processes --- Mathematical models. --- Monte Carlo method --- Equations of motion --- E-books

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Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. Specific topics covered include: * analysis of wealth distributions * dynamics of price formation * spreading of opinions * models of social behavior * population dynamics * aggregation and swarming The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Animal behavior -- Mathematical models. --- Animal behavior. --- Collective behavior -- Mathematical models. --- Collective behavior. --- Collective behavior --- Entrepreneurship --- Self-organizing systems --- Social Sciences --- Engineering & Applied Sciences --- Social Sciences - General --- Applied Mathematics --- Mathematical models --- Mathematical models. --- Learning systems (Automatic control) --- Self-optimizing systems --- Entrepreneur --- Intrapreneur --- Behavior, Collective --- Crowd behavior --- Crowds --- Mass behavior --- Psychology --- Mathematics. --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Economics, Mathematical. --- Biomathematics. --- Statistical physics. --- Dynamical systems. --- Applications of Mathematics. --- Mathematical Modeling and Industrial Mathematics. --- Statistical Physics, Dynamical Systems and Complexity. --- Partial Differential Equations. --- Mathematical and Computational Biology. --- Quantitative Finance. --- Cybernetics --- Intellect --- Learning ability --- Synergetics --- Capitalism --- Business incubators --- Human behavior --- Social action --- Social psychology --- Differential equations, partial. --- Finance. --- Complex Systems. --- Funding --- Funds --- Economics --- Currency question --- Partial differential equations --- Math --- Science --- Economics, Mathematical . --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematical economics --- Econometrics --- Mathematics --- Biology --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Mathematical statistics --- Methodology --- Statistical methods --- System theory. --- Differential equations. --- Social sciences --- Differential Equations. --- Mathematics in Business, Economics and Finance. --- 517.91 Differential equations --- Differential equations --- Systems, Theory of --- Systems science --- Philosophy

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Mathematical modeling using dynamical systems and partial differential equations is now playing an increasing role in the understanding of complex multi-scale phenomena. Behavior in seemingly different areas such as sociology, economics, and the life sciences can be described by closely related models. Systems made out of a large enough number of individual members can be said to exhibit a collective behavior, from which insight can be gathered in a way that real-life experiments cannot. Using examples from financial markets and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. Specific topics covered include: * analysis of wealth distributions * dynamics of price formation * spreading of opinions * models of social behavior * population dynamics * aggregation and swarming The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Finance --- Economics --- Partial differential equations --- Discrete mathematics --- Mathematics --- Classical mechanics. Field theory --- Statistical physics --- Biomathematics. Biometry. Biostatistics --- Biology --- Applied physical engineering --- Planning (firm) --- Computer science --- kennis --- differentiaalvergelijkingen --- toegepaste wiskunde --- grafentheorie --- biomathematica --- biologie --- economie --- informatica --- mathematische modellen --- statistiek --- financiën --- wiskunde --- fysica --- dynamica

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This book publishes select papers presented at the 4th International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2021), held at the Sant Longowal Institute of Engineering and Technology, Longowal, Punjab, India, from 21-22 December 2021. Most of the papers deal with mathematical theory embedded with its applications to engineering and sciences. This book illustrates numerical simulation of scientific problems and the state-of-the-art research in industrial and applied mathematics, including various computational and modeling techniques with case studies and concrete examples. Graduate students and researchers, who are interested in real applications of mathematics in the areas of computational and theoretical fluid dynamics, solid mechanics, optimization and operations research, numerical analysis, bio-mathematics, fuzzy, control and systems theory, dynamical systems and nonlinear analysis, algebra and approximation theory, will find the book useful. .

Operational research. Game theory --- Probability theory --- Mathematics --- Classical mechanics. Field theory --- Planning (firm) --- Computer. Automation --- waarschijnlijkheidstheorie --- stochastische analyse --- informatica --- mathematische modellen --- wiskunde --- kansrekening --- dynamica